2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101345In a previous paper, the author proved the existence of extremal function for the Moser-Trudinger inequality on a compact manifold. In the this paper, we will give a new proof of one of the key proposition.5 pagesAnalysis of PDEs58E35A simplification of the proof of the existence of the extremal function for the Moser-Trudinger inequalitytext